On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation

Ebook Details


M. Escobedo, J. J. L. Velazquez

Year 2015
Pages 107
Publisher Amer Mathematical Society
Language en
ISBN 9781470414344
File Size 869.59 KB
File Format PDF
Download Counter 90
Amazon Link

Ebook Description

The authors study the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrodinger equation. They define suitable concepts of weak and mild solutions and prove local and global well posedness results. Several qualitative properties of the solutions, including long time asymptotics, blow up results and condensation in finite time are obtained. The authors also prove the existence of a family of solutions that exhibit pulsating behavior.